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122300010321 = 34127134910513
BaseRepresentation
bin111000111100110100…
…1100000111101010001
3102200200022001020111220
41301321221200331101
54000432300312241
6132103413355253
711556464635566
oct1617151407521
9380608036456
10122300010321
114795a1929a5
121b852038b29
13b6c0864118
145cc29b886d
1532abd7a166
hex1c79a60f51

122300010321 has 32 divisors (see below), whose sum is σ = 168156710400. Its totient is φ = 79016601600.

The previous prime is 122300010317. The next prime is 122300010337. The reversal of 122300010321 is 123010003221.

It is not a de Polignac number, because 122300010321 - 22 = 122300010317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122300010321.

It is not an unprimeable number, because it can be changed into a prime (122300010361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11627961 + ... + 11638473.

It is an arithmetic number, because the mean of its divisors is an integer number (5254897200).

Almost surely, 2122300010321 is an apocalyptic number.

It is an amenable number.

122300010321 is a deficient number, since it is larger than the sum of its proper divisors (45856700079).

122300010321 is a wasteful number, since it uses less digits than its factorization.

122300010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11177.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122300010321 its reverse (123010003221), we get a palindrome (245310013542).

It can be divided in two parts, 1223000 and 10321, that added together give a palindrome (1233321).

The spelling of 122300010321 in words is "one hundred twenty-two billion, three hundred million, ten thousand, three hundred twenty-one".

Divisors: 1 3 41 123 271 349 813 1047 10513 11111 14309 31539 33333 42927 94579 283737 431033 1293099 2849023 3669037 3877739 8547069 11007111 11633217 116809943 150430517 350429829 451291551 994309027 2982927081 40766670107 122300010321